{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d885824b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import combinations\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy import stats\n",
    "import statsmodels.api as sm\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('fivethirtyeight')\n",
    "\n",
    "import graphviz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7a2494ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "COLORS = [\n",
    "    '#00B0F0',\n",
    "    '#FF0000',\n",
    "    '#B0F000'\n",
    "]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0fd06fd",
   "metadata": {},
   "source": [
    "# Chapter 05\n",
    "\n",
    "This chapter introduces the concept of mapping between distributions and graphs. We define and demonstrate basic graphical structures and (briefly) talk about statistical and graphical independence. Finally, we implement regression models to show how different graphical structures manifest themselves in statistical (in)dependencies."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "663cd1b3",
   "metadata": {},
   "source": [
    "## Visualizations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "321fb278",
   "metadata": {},
   "outputs": [
    {
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       "<title>A&#45;&gt;B</title>\n",
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       "<!-- C&#45;&gt;A -->\n",
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       "<title>C&#45;&gt;A</title>\n",
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       "<!-- C&#45;&gt;B -->\n",
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       "<title>C&#45;&gt;B</title>\n",
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      ],
      "text/plain": [
       "<graphviz.graphs.Digraph at 0x20b3e1ac580>"
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     },
     "execution_count": 20,
     "metadata": {},
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    }
   ],
   "source": [
    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['A', 'B', 'C']\n",
    "positions = ['0,2.75!', '2,3!', '0,1!']\n",
    "\n",
    "edges = ['AB', 'CB', 'CA']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_05_markov_01')\n",
    "\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "931fb8b2",
   "metadata": {},
   "outputs": [
    {
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       "<!-- B -->\n",
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       "<title>B</title>\n",
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       "<!-- A&#45;&gt;B -->\n",
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       "<title>A&#45;&gt;B</title>\n",
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       "<title>C</title>\n",
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       "<text text-anchor=\"middle\" x=\"27\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">C</text>\n",
       "</g>\n",
       "<!-- A&#45;&gt;C -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>A&#45;&gt;C</title>\n",
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       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>C&#45;&gt;B</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M42.14,-33.14C67.46,-58.46 118.54,-109.54 148.22,-139.22\"/>\n",
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       "</svg>\n"
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       "<graphviz.graphs.Digraph at 0x20b38cdc7c0>"
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     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['A', 'B', 'C']\n",
    "positions = ['0,2.75!', '2,3!', '0,1!']\n",
    "\n",
    "edges = ['AB', 'CB', 'AC']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_05_markov_02')\n",
    "\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20eed249",
   "metadata": {},
   "source": [
    "## Causal graphs and independence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "af05eeb2",
   "metadata": {},
   "outputs": [],
   "source": [
    "NOISE_LEVEL = .2\n",
    "N_SAMPLES = 1000"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0c992a7",
   "metadata": {},
   "source": [
    "### A chain: `A -> B -> C`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "91c18b48",
   "metadata": {},
   "outputs": [
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     "execution_count": 7,
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   ],
   "source": [
    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['A', 'B', 'C']\n",
    "positions = ['0,0!', '1.5,0!', '3,0!']\n",
    "\n",
    "edges = ['AB', 'BC']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_05_chain_00')\n",
    "\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8f47fa72",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate the data\n",
    "a = np.random.randn(N_SAMPLES) \n",
    "b = a + NOISE_LEVEL*np.random.randn(N_SAMPLES) \n",
    "c = b + NOISE_LEVEL*np.random.randn(N_SAMPLES) \n",
    "\n",
    "# Get combinations\n",
    "combs = list(combinations([('a', a), ('b', b), ('c', c)], 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "be6e8ab7",
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "for i, comb in enumerate(combs):\n",
    "    key_1, key_2 = comb[0][0], comb[1][0]\n",
    "    \n",
    "    \n",
    "    plt.subplot(2, 2, i + 1)\n",
    "    plt.scatter(comb[0][1], comb[1][1], alpha=.5, color=COLORS[0])\n",
    "    plt.xlabel(key_1)\n",
    "    plt.ylabel(key_2)\n",
    "\n",
    "plt.suptitle('Chain - scatterplots')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c246377a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.965\n",
      "Model:                            OLS   Adj. R-squared:                  0.965\n",
      "Method:                 Least Squares   F-statistic:                 1.381e+04\n",
      "Date:                Fri, 05 Aug 2022   Prob (F-statistic):               0.00\n",
      "Time:                        19:38:36   Log-Likelihood:                 194.38\n",
      "No. Observations:                1000   AIC:                            -382.8\n",
      "Df Residuals:                     997   BIC:                            -368.0\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.0058      0.006     -0.919      0.358      -0.018       0.007\n",
      "A             -0.0273      0.033     -0.840      0.401      -0.091       0.036\n",
      "B              1.0302      0.032     32.138      0.000       0.967       1.093\n",
      "==============================================================================\n",
      "Omnibus:                        0.697   Durbin-Watson:                   2.023\n",
      "Prob(Omnibus):                  0.706   Jarque-Bera (JB):                0.642\n",
      "Skew:                          -0.061   Prob(JB):                        0.725\n",
      "Kurtosis:                       3.023   Cond. No.                         10.6\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "X = pd.DataFrame(np.vstack([a, b]).T, columns=['A', 'B'])\n",
    "X = sm.add_constant(X, prepend=True)\n",
    "\n",
    "model = sm.OLS(c, X)\n",
    "results = model.fit()\n",
    "\n",
    "print(results.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a006e2af",
   "metadata": {},
   "source": [
    "### A fork: `A <- B -> C`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "28121892",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.46.0 (20210118.1747)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"278pt\" height=\"44pt\"\n",
       " viewBox=\"0.00 0.00 278.00 44.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 40)\">\n",
       "<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-40 274,-40 274,4 -4,4\"/>\n",
       "<!-- A -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>A</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"27\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"27\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">A</text>\n",
       "</g>\n",
       "<!-- B -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>B</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"135\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"135\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B</text>\n",
       "</g>\n",
       "<!-- B&#45;&gt;A -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>B&#45;&gt;A</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M107.75,-18C94.57,-18 78.56,-18 64.27,-18\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"64.24,-14.5 54.24,-18 64.24,-21.5 64.24,-14.5\"/>\n",
       "</g>\n",
       "<!-- C -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>C</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"243\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"243\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">C</text>\n",
       "</g>\n",
       "<!-- B&#45;&gt;C -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>B&#45;&gt;C</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M162.25,-18C175.43,-18 191.44,-18 205.73,-18\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"205.76,-21.5 215.76,-18 205.76,-14.5 205.76,-21.5\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.graphs.Digraph at 0x20b38cdcd00>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['A', 'B', 'C']\n",
    "positions = ['0,0!', '1.5,0!', '3,0!']\n",
    "\n",
    "edges = ['BA', 'BC']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_05_fork_00')\n",
    "\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1734d577",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate the data\n",
    "b = np.random.randn(N_SAMPLES) \n",
    "a = b + NOISE_LEVEL*np.random.randn(N_SAMPLES) \n",
    "c = b + NOISE_LEVEL*np.random.randn(N_SAMPLES) \n",
    "\n",
    "# Get combinations\n",
    "combs = list(combinations([('a', a), ('b', b), ('c', c)], 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "10a69ddc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "for i, comb in enumerate(combs):\n",
    "    key_1, key_2 = comb[0][0], comb[1][0]\n",
    "    \n",
    "    \n",
    "    plt.subplot(2, 2, i + 1)\n",
    "    plt.scatter(comb[0][1], comb[1][1], alpha=.5, color=COLORS[0])\n",
    "    plt.xlabel(key_1)\n",
    "    plt.ylabel(key_2)\n",
    "\n",
    "plt.suptitle('Fork - scatterplots')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f5b48d1c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.962\n",
      "Model:                            OLS   Adj. R-squared:                  0.962\n",
      "Method:                 Least Squares   F-statistic:                 1.254e+04\n",
      "Date:                Fri, 05 Aug 2022   Prob (F-statistic):               0.00\n",
      "Time:                        19:38:37   Log-Likelihood:                 192.24\n",
      "No. Observations:                1000   AIC:                            -378.5\n",
      "Df Residuals:                     997   BIC:                            -363.8\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const          0.0048      0.006      0.755      0.451      -0.008       0.017\n",
      "A             -0.0247      0.032     -0.773      0.440      -0.087       0.038\n",
      "B              1.0040      0.033     30.809      0.000       0.940       1.068\n",
      "==============================================================================\n",
      "Omnibus:                        1.768   Durbin-Watson:                   2.014\n",
      "Prob(Omnibus):                  0.413   Jarque-Bera (JB):                1.677\n",
      "Skew:                          -0.023   Prob(JB):                        0.432\n",
      "Kurtosis:                       2.805   Cond. No.                         10.4\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "X = pd.DataFrame(np.vstack([a, b]).T, columns=['A', 'B'])\n",
    "X = sm.add_constant(X, prepend=True)\n",
    "\n",
    "model = sm.OLS(c, X)\n",
    "results = model.fit()\n",
    "\n",
    "print(results.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b936a8c",
   "metadata": {},
   "source": [
    "### A collider: `A -> B <- C`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "72a78991",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.46.0 (20210118.1747)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"278pt\" height=\"44pt\"\n",
       " viewBox=\"0.00 0.00 278.00 44.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 40)\">\n",
       "<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-40 274,-40 274,4 -4,4\"/>\n",
       "<!-- A -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>A</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"27\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"27\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">A</text>\n",
       "</g>\n",
       "<!-- B -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>B</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"135\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"135\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">B</text>\n",
       "</g>\n",
       "<!-- A&#45;&gt;B -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>A&#45;&gt;B</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M54.25,-18C67.43,-18 83.44,-18 97.73,-18\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"97.76,-21.5 107.76,-18 97.76,-14.5 97.76,-21.5\"/>\n",
       "</g>\n",
       "<!-- C -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>C</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"243\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"243\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">C</text>\n",
       "</g>\n",
       "<!-- C&#45;&gt;B -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>C&#45;&gt;B</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M215.75,-18C202.57,-18 186.56,-18 172.27,-18\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"172.24,-14.5 162.24,-18 172.24,-21.5 172.24,-14.5\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.graphs.Digraph at 0x20b3d6e7bb0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graph = graphviz.Digraph(format='png', engine='neato')\n",
    "\n",
    "nodes = ['A', 'B', 'C']\n",
    "positions = ['0,0!', '1.5,0!', '3,0!']\n",
    "\n",
    "edges = ['AB', 'CB']\n",
    "\n",
    "[graph.node(n, pos=pos) for n, pos in zip(nodes, positions)]\n",
    "graph.edges(edges)\n",
    "\n",
    "graph.render(f'img/ch_05_collider_00')\n",
    "\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1e5e1cfc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate the data\n",
    "a = np.random.randn(N_SAMPLES) \n",
    "c = np.random.randn(N_SAMPLES) \n",
    "b = a + c + NOISE_LEVEL*np.random.randn(N_SAMPLES) \n",
    "\n",
    "# Get combinations\n",
    "combs = list(combinations([('a', a), ('b', b), ('c', c)], 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9c16f740",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "for i, comb in enumerate(combs):\n",
    "    key_1, key_2 = comb[0][0], comb[1][0]\n",
    "    \n",
    "    \n",
    "    plt.subplot(2, 2, i + 1)\n",
    "    plt.scatter(comb[0][1], comb[1][1], alpha=.5, color=COLORS[0])\n",
    "    plt.xlabel(key_1)\n",
    "    plt.ylabel(key_2)\n",
    "\n",
    "plt.suptitle('Collider - scatterplots')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "7293379e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       1.000\n",
      "Model:                            OLS   Adj. R-squared:                  1.000\n",
      "Method:                 Least Squares   F-statistic:                 1.144e+33\n",
      "Date:                Thu, 04 Aug 2022   Prob (F-statistic):               0.00\n",
      "Time:                        20:31:13   Log-Likelihood:                 33542.\n",
      "No. Observations:                1000   AIC:                        -6.708e+04\n",
      "Df Residuals:                     997   BIC:                        -6.706e+04\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const       6.858e-17   2.08e-17      3.300      0.001    2.78e-17    1.09e-16\n",
      "A             -1.0000   2.92e-17  -3.43e+16      0.000      -1.000      -1.000\n",
      "B              1.0000   2.09e-17   4.78e+16      0.000       1.000       1.000\n",
      "==============================================================================\n",
      "Omnibus:                        8.659   Durbin-Watson:                   1.964\n",
      "Prob(Omnibus):                  0.013   Jarque-Bera (JB):                8.642\n",
      "Skew:                           0.207   Prob(JB):                       0.0133\n",
      "Kurtosis:                       3.189   Cond. No.                         2.73\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "X = pd.DataFrame(np.vstack([a, b]).T, columns=['A', 'B'])\n",
    "X = sm.add_constant(X, prepend=True)\n",
    "\n",
    "model = sm.OLS(c, X)\n",
    "results = model.fit()\n",
    "\n",
    "print(results.summary())"
   ]
  }
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